Final answer:
To find f ° g and g ° f, substitute g into f and f into g. The composition of f and g is x² for both cases.
Step-by-step explanation:
To find the composition of the functions f and g, we need to substitute the expression for g into f, and vice versa.
f ° g = f(g(x)) = f(x²) = (x²)¹ = x².
g ° f = g(f(x)) = g(x¹) = (x¹)² = x².